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Finding the Fourth Proportional to 8,227.50, 12,341.25 and 2,071.50

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Solution

The fourth proportional to 8,227.50, 12,341.25 and 2,071.50 is: 3,107.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.50 : 12,341.25 = 2,071.50 : x
  2. Step 2: Convert to fraction form
    8,227.50/12,341.25 = 2,071.50/x
  3. Step 3: Cross multiply
    8,227.50x = 12,341.25 × 2,071.50
  4. Step 4: Simplify right side
    8,227.50x = 25,564,899.38
  5. Step 5: Solve for x
    x = 25,564,899.38/8,227.50
  6. Step 6: Final answer
    x = 3,107.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.